Fill in the blanks. Simplify your answers. Maximum y − value = Middle y − value = Minimum y − value =   Amplitude = Period = Phase shift =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Let y=−4cos(π/6x + 5π/3)−1

[a] Fill in the blanks. Simplify your answers.

Maximum y − value =

Middle y − value =

Minimum y − value =

 

Amplitude =

Period =

Phase shift =

y = ________________________________________________________.

[b] Find the coordinates for all points corresponding to the middle, top and bottom of the graph of the function for 2 complete periods, starting at the phase shift.

Point 1: 

Point 2: 

Point 3: 

Point 4: 

Point 5: 

Point 6: 

Point 7: 

Point 8: 

Point 9: 

 

 

Expert Solution
Step 1

Amplitude and Phase shift:

The amplitude is the distance between the center line and the peak (or to the trough). Alternatively, we may take the height from the highest to the lowest position and split it by two.
The Phase Shift is the horizontal shift of the function from its normal location.

steps

Step by step

Solved in 6 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,